TY - JOUR
T1 - Numerical Analysis of High Order Time Stepping Schemes for a Predator-Prey System
AU - Chrysafinos , Konstantinos
AU - Kostas , Dimitrios
JO - International Journal of Numerical Analysis and Modeling
VL - 2-3
SP - 404
EP - 423
PY - 2022
DA - 2022/04
SN - 19
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/20488.html
KW - Predator-Prey systems, discontinuous Galerkin schemes, stability properties, error estimates.
AB - <p style="text-align: justify;">Finite element discretisations of the modified predator-prey system are examined. In
particular, fully-discrete schemes based on the discontinuous Galerkin time stepping approach for
the temporal discretisation combined with standard finite elements for the spatial discretisation
are considered. Stability estimates are derived for schemes of arbitrary order and error estimates
that maintain a symmetric structure are proved.</p>